1054526040 has 160 divisors (see below), whose sum is σ = 3560420160. Its totient is φ = 279936000.

The previous prime is 1054526021. The next prime is 1054526047. The reversal of 1054526040 is 406254501.

1054526040 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 52 + 604 + 0 = 666.

It is a super-2 number, since 2×1054526040² = 2224050338076163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1054525995 and 1054526013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054526047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 877440 + ... + 878640.

It is an arithmetic number, because the mean of its divisors is an integer number (22252626).

Almost surely, 2^1054526040 is an apocalyptic number.

1054526040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054526040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780210080).

1054526040 is an abundant number, since it is smaller than the sum of its proper divisors (2505894120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1054526040 is a wasteful number, since it uses less digits than its factorization.

1054526040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1054526040 is about 32473.4667074521. The cubic root of 1054526040 is about 1017.8546604767.

It can be divided in two parts, 10545 and 26040, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 1054526040 in words is "one billion, fifty-four million, five hundred twenty-six thousand, forty".